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Finding the Third Proportional to 5,896,869 and 12,613,505

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Solution

The third proportional to 5,896,869 and 12,613,505 is: 26,980,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,869 : 12,613,505 = 12,613,505 : x
  2. Step 2: Convert to fraction form
    5,896,869/12,613,505 = 12,613,505/x
  3. Step 3: Cross multiply
    5,896,869x = 12,613,505 × 12,613,505
  4. Step 4: Simplify right side
    5,896,869x = 159,100,508,385,025
  5. Step 5: Solve for x
    x = 159,100,508,385,025/5,896,869
  6. Step 6: Final answer
    x = 26,980,505.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.